(2x^2-2x+1)/(2x-1)<=1
25x^2-3|3-5x|<30x-9

1) $frac{2x^{2}-2x+1}{2x-1} leq 1$
$frac{2x^{2}-2x+1}{2x-1}- frac{2x-1}{2x-1} leq 0$
$frac{2x^{2}-2x+1-2x+1}{2x-1} leq 0$
$frac{2*(x^{2}-2x+1)}{2x-1} leq 0$
$frac{2*(x-1)^{2}}{2x-1} leq 0$
1.1) $x-1=0$
$x=1$
1.2) $2x-1 textless 0$
$x textless frac{1}{2}$

Ответ: x∈(-бесконечность; 0.5)U{1}

2) $25x^2-3*|3-5x| textless 30x-9$
2.1) $left { {{3-5x geq 0} atop {25x^2-3*(3-5x) textless 30x-9}} right.$
$left { {x leq 0.6} atop {25x^2-9+15x-30x+9 textless 0}} right.$
$left { {x leq 0.6} atop {25x^2-15x textless 0}} right.$
$left { {x leq 0.6} atop {x*(5x-3) textless 0}} right.$
$left { {x leq 0.6} atop {0 textless x textless 0.6}} right.$

Решение: 0

2.2) $left { {{3-5x textless 0} atop {25x^2-3*(-3+5x) textless 30x-9}} right.$
$left { {{x textgreater 0.6} atop {25x^2+9-15x-30x+9 textless 0}} right.$
$left { {{x textgreater 0.6} atop {25x^2-45x+18 textless 0}} right.$
$25x^2-45x+18=0, D=45^{2}-4*25*18=225=15^{2}$
$x_{1}= frac{45-15}{50}=frac{30}{50}=0.6$
$x_{2}= frac{45+15}{50}=frac{60}{50}=1.2$
$left { {{x textgreater 0.6} atop {0.6 textless x textless 1.2}} right.$

Решение: 0.6
Общее решение: x∈(0; 0.6)U(0.6; 1.2)